As discussed in Ref. [1]}, [2]}, asymptotic flatness requires the parameters to be subject to
\(\sum _{i=1}^n h_i&=& 1,\\l_0&=&1,\\c&=&\sum _{i,j=1(i\ne j)}^n\frac{h_im_j+\frac{3}{2}k_il_j}{z_{ij}},\\m_0&=&-\frac{3}{2}\sum _{i=1}^nk_i.\) 
